ContIC-class             package:ROptEst             R Documentation

_I_n_f_l_u_e_n_c_e _c_u_r_v_e _o_f _c_o_n_t_a_m_i_n_a_t_i_o_n _t_y_p_e

_D_e_s_c_r_i_p_t_i_o_n:

     Class of (partial) influence curves of contamination type;  i.e.,
     influence curves eta of the form

             eta = (A Lambda - a)min(1, b/|A Lambda - a|)

     with clipping bound b, centering constant a and standardizing
     matrix A. Lambda stands for the L2 derivative of the corresponding
     L2 differentiable  parametric family created via the call in the
     slot 'CallL2Fam'.

_O_b_j_e_c_t_s _f_r_o_m _t_h_e _C_l_a_s_s:

     Objects can be created by calls of the form 'new("ContIC", ...)'.
     More frequently they are created via the generating function 
     'ContIC', respectively via the method 'generateIC'.

_S_l_o_t_s:

     '_C_a_l_l_L_2_F_a_m': object of class '"call"': creates an object of the
          underlying L2-differentiable  parametric family. 

     '_n_a_m_e': object of class '"character"' 

     '_C_u_r_v_e': object of class '"EuclRandVarList"'

     '_R_i_s_k_s': object of class '"list"':  list of risks; cf.
          'RiskType-class'. 

     '_I_n_f_o_s': object of class '"matrix"' with two columns named
          'method' and 'message': additional informations. 

     '_c_l_i_p': object of class '"numeric"':  clipping bound. 

     '_c_e_n_t': object of class '"numeric"': centering constant. 

     '_s_t_a_n_d': object of class '"matrix"': standardizing matrix. 

     '_l_o_w_e_r_C_a_s_e': object of class '"OptionalNumeric"': optional
          constant for lower case solution. 

     '_n_e_i_g_h_b_o_r_R_a_d_i_u_s': object of class '"numeric"': radius of the
          corresponding (unconditional) contamination  neighborhood. 

_E_x_t_e_n_d_s:

     Class '"IC"', directly.
      Class '"InfluenceCurve"', by class '"IC"'.

_M_e_t_h_o_d_s:

     _C_a_l_l_L_2_F_a_m<- 'signature(object = "ContIC")':  replacement function
          for slot 'CallL2Fam'. 

     _c_e_n_t 'signature(object = "ContIC")':  accessor function for slot
          'cent'. 

     _c_e_n_t<- 'signature(object = "ContIC")':  replacement function for
          slot 'cent'. 

     _c_l_i_p 'signature(object = "ContIC")':  accessor function for slot
          'clip'. 

     _c_l_i_p<- 'signature(object = "ContIC")':  replacement function for
          slot 'clip'. 

     _s_t_a_n_d 'signature(object = "ContIC")':  accessor function for slot
          'stand'. 

     _s_t_a_n_d<- 'signature(object = "ContIC")': replacement function for
          slot 'stand'. 

     _l_o_w_e_r_C_a_s_e 'signature(object = "ContIC")':  accessor function for
          slot 'lowerCase'. 

     _l_o_w_e_r_C_a_s_e<- 'signature(object = "ContIC")':  replacement function
          for slot 'lowerCase'. 

     _n_e_i_g_h_b_o_r_R_a_d_i_u_s 'signature(object = "ContIC")':  accessor function
          for slot 'neighborRadius'. 

     _n_e_i_g_h_b_o_r_R_a_d_i_u_s<- 'signature(object = "ContIC")':  replacement
          function for slot 'neighborRadius'. 

     _g_e_n_e_r_a_t_e_I_C 'signature(neighbor = "ContNeighborhood", L2Fam =
          "L2ParamFamily")': generate an object of class '"ContIC"'.
          Rarely called directly. 

     _s_h_o_w 'signature(object = "ContIC")'

_A_u_t_h_o_r(_s):

     Matthias Kohl Matthias.Kohl@stamats.de

_R_e_f_e_r_e_n_c_e_s:

     Rieder, H. (1994) _Robust Asymptotic Statistics_. New York:
     Springer.

     Kohl, M. (2005) _Numerical Contributions to the Asymptotic Theory
     of Robustness_.  Bayreuth: Dissertation.

_S_e_e _A_l_s_o:

     'IC-class', 'ContIC'

_E_x_a_m_p_l_e_s:

     IC1 <- new("ContIC")
     plot(IC1)

